We now analyze the imprints of the primordial power spectrum of curvature perturbations on the SGWB. As already discussed, we only consider the effects of tilting or very slightly distorting the scale-invariant power spectrum. More peaked power spectra, such as those described by a narrow lognormal distribution, would hardly show the effects of changes in the EOS, and our results would thus be very similar to those already obtained in the literature, see e.g. [1]}.
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